Engel algebra
From Encyclopedia of Mathematics
An associative algebra or Lie algebra 
satisfying the Engel condition: For every 
the inner derivation 
(cf. Derivation in a ring) is nilpotent. In other words, all elements of an Engel algebra are Engel elements (cf. Engel element, see also Lie algebra, nil).
How to Cite This Entry:
Engel algebra. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Engel_algebra&oldid=15350
Engel algebra. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Engel_algebra&oldid=15350
This article was adapted from an original article by Yu.A. Bakhturin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article